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Gamma-ray bursts (GRBs) have been regarded as standard candles at very high redshift for cosmology research. We have proposed a new method to calibrate GRB distance indicators with Type Ia supernova (SNe Ia) data in a completely…

Cosmology and Nongalactic Astrophysics · Physics 2010-04-22 Nan Liang , Puxun Wu , Shuang Nan Zhang

We calibrate the distance and reconstruct the Hubble diagram of gamma-ray bursts (GRBs) using deep learning. We construct an artificial neural network, which combines the recurrent neural network and Bayesian neural network, and train the…

General Relativity and Quantum Cosmology · Physics 2021-11-22 Li Tang , Hai-Nan Lin , Xin Li , Liang Liu

For the use of Gamma-Ray Bursts (GRBs) to probe cosmology in a cosmology-independent way, a new method has been proposed to obtain luminosity distances of GRBs by interpolating directly from the Hubble diagram of SNe Ia, and then…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-18 He Gao , Nan Liang , Zong-Hong Zhu

Recently, Gamma-Ray Bursts (GRBs) were proposed to be a complementary cosmological probe to type Ia supernovae (SNIa). GRBs have been advocated to be standard candles since several empirical GRB luminosity relations were proposed as…

Astrophysics · Physics 2009-08-31 Hao Wei , Shuang Nan Zhang

Gamma-ray bursts (GRBs) offer a powerful probe of the cosmic expansion history far beyond the redshift range accessible to Type Ia supernovae. However, the study of cosmological models using GRBs is hindered by the circularity problem,…

Cosmology and Nongalactic Astrophysics · Physics 2026-03-11 Nilanjana Bagchi Aurpa , Abha Dev Habib , Nisha Rani

An important concern in the application of gamma-ray bursts (GRBs) to cosmology is that the calibration of GRB luminosity/energy relations depends on the cosmological model, due to the lack of a sufficient low-redshift GRB sample. In this…

Astrophysics · Physics 2009-11-13 Nan Liang , Wei Ke Xiao , Yuan Liu , Shuang Nan Zhang

Gamma-ray bursts (GRBs) are luminous enough to be detectable up to redshift $z\sim 10$. They are often proposed as complementary tools to type-Ia supernovae (SNe Ia) in tracing the Hubble diagram of the Universe. The distance calibrations…

General Relativity and Quantum Cosmology · Physics 2015-11-30 Hai-Nan Lin , Xin Li , Zhe Chang

Gamma-ray bursts (GRBs) detected at high redshift can be used to trace the cosmic expansion history. However, the calibration of their luminosity distances is not an easy task in comparison to Type Ia Supernovae (SNeIa). To calibrate these…

Cosmology and Nongalactic Astrophysics · Physics 2022-04-20 Celia Escamilla-Rivera , Maryi Carvajal , Cristian Zamora , Martin Hendry

We present a sample of 74 Gamma-Ray Bursts (GRBs) from the Fermi-GBM catalogue for which we compute the distance moduli and use them to constrain effective dark energy models. To overcome the circularity problem affecting GRBs as distance…

High Energy Astrophysical Phenomena · Physics 2021-01-01 Ariadna Montiel , J. I. Cabrera , Juan Carlos Hidalgo

We here propose a new model-independent technique to overcome the circularity problem affecting the use of Gamma-Ray Bursts (GRBs) as distance indicators through the use of $E_{\rm p}$--$E_{\rm iso}$ correlation. We calibrate the $E_{\rm…

High Energy Astrophysical Phenomena · Physics 2019-05-27 Lorenzo Amati , Rocco D'Agostino , Orlando Luongo , Marco Muccino , Maria Tantalo

In this paper, we firstly calibrate the Amati relation (the $E_{\rm p}-E_{\rm iso}$ correlation) of gamma ray bursts (GRBs) at low redshifts ($z<0.8$) via Gaussian process by using the type Ia supernovae samples from Pantheon+ under the…

Cosmology and Nongalactic Astrophysics · Physics 2023-09-12 Yuhao Mu , Baorong Chang , Lixin Xu

Gamma ray burst (GRBs) can be used to constrain cosmological parameters from medium up to very high redshift. These powerful systems could be the further reliable distance indicators after SNeIa supernovae. We consider GRBs samples to…

High Energy Astrophysical Phenomena · Physics 2012-07-02 S. Capozziello , L. Consiglio , M. De Laurentis , G. De Rosa , C. Perna , D. Vivolo

The $\Lambda$ Cold Dark Matter ($\Lambda$CDM) cosmological model has been highly successful in predicting cosmic structure and evolution, yet recent precision measurements have highlighted discrepancies, especially in the Hubble constant…

Cosmology and Nongalactic Astrophysics · Physics 2026-05-08 Purba Mukherjee , Maria Giovanna Dainotti , Konstantinos F. Dialektopoulos , Jackson Levi Said , Jurgen Mifsud

As so far, the redshift of Gamma-ray bursts (GRBs) can extend to $z\sim 8$ which makes it as a complementary probe of dark energy to supernova Ia (SN Ia). However, the calibration of GRBs is still a big challenge when they are used to…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-19 Lixin Xu

We combine recent long Gamma Ray Bursts (GRBs) sample including 52 objects out to z$=$6.3 compiled from Swift Gamma Ray Bursts by Schaefer (2006) with Type Ia Supernova (SNIa), Cosmic Microwave Background (CMB) and Baryon Oscillation (BAO)…

Astrophysics · Physics 2007-05-23 Meng Su , Hong Li , Zuhui Fan , Bo Liu

Gamma-ray bursts (GRBs) detected at high redshift can be used to trace the Hubble diagram of the Universe. However, the distance calibration of GRBs is not as easily as that of type Ia supernovae (SNe Ia). For the calibrating method based…

Cosmology and Nongalactic Astrophysics · Physics 2021-11-23 Li Tang , Xin Li , Hai-Nan Lin , Liang Liu

Cosmological probes at any redshift are necessary to reconstruct consistently the cosmic history. Studying properly the tension on the Hubble constant, $H_0$, obtained by Supernovae Type Ia (SNe Ia) and the Planck measurements of the Cosmic…

Cosmology and Nongalactic Astrophysics · Physics 2022-08-17 Maria Giovanna Dainotti , Giuseppe Sarracino , Salvatore Capozziello

In this paper, we calibrate the luminosity relation of gamma-ray bursts (GRBs) with the machine learning (ML) algorithms from the Pantheon+ sample of type Ia supernovae in a cosmology-independent way. By using K-Nearest Neighbors (KNN) and…

Cosmology and Nongalactic Astrophysics · Physics 2025-02-25 Bin Zhang , Huifeng Wang , Xiaodong Nong , Guangzhen Wang , Puxun Wu , Nan Liang

In this paper, we calibrate the Amati relation (the $E_{\rm p}$-${E}_{\rm iso}$ correlation) of gamma-ray bursts (GRBs) in a cosmology-independent way. By using Gaussian process to reconstruct the smoothed luminosity distance from the…

Cosmology and Nongalactic Astrophysics · Physics 2022-12-16 Nan Liang , Zihao Li , Xiaoyao Xie , Puxun Wu

Several correlations among Gamma-Ray Bursts (GRBs) quantities, both in the prompt and afterglow emissions, have been established during the last decades, thus enabling the standardization of GRBs as cosmological probes. Since GRBs are…

Cosmology and Nongalactic Astrophysics · Physics 2024-10-29 Giada Bargiacchi , Maria Giovanna Dainotti , Salvatore Capozziello
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